{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "import gym, sys\n",
    "\n",
    "%matplotlib inline\n",
    "sys.path.append('../..')\n",
    "sys.path.append('..')\n",
    "\n",
    "import algorithms, visualize, utils"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cliff Walking"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "env = gym.make('CliffWalking-v0')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Episode: 30/30\n"
     ]
    }
   ],
   "source": [
    "Q, sum_rewards = algorithms.n_step_backup_tree(\n",
    "    num_steps=8, env=env, num_episodes=30,\n",
    "    step_size=.5, discount_rate=1., epsilon=.1\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1J3/jY9mjxcvHGzP2tLCjJ135y4GWPXVJ5fKnctmNiU35gekmDPsr5k26xph5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\n3P8D3tKdtJdxkbQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1064dc050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize.rewards(sum_rewards)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Run Environment Interactively"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current State: 47\n",
      "o  o  o  o  o  o  o  o  o  o  o  o\n",
      "o  o  o  o  o  o  o  o  o  o  o  o\n",
      "o  o  o  o  o  o  o  o  o  o  o  o\n",
      "o  C  C  C  C  C  C  C  C  C  C  x\n",
      "\n",
      "Finished\n"
     ]
    }
   ],
   "source": [
    "utils.run_environment_greedy(env, Q)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
